Spectral Properties and Geometric Interpretation of R-Filters

LENG Tuo

Volume 30 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(1): 109-119

LENG Tuo. Spectral Properties and Geometric Interpretation of R-Filters[J]. Applied Mathematics and Mechanics, 2009, 30(1): 109-119.

Citation:

LENG Tuo. Spectral Properties and Geometric Interpretation of R-Filters[J]. Applied Mathematics and Mechanics, 2009, 30(1): 109-119.

Citation:

LENG Tuo. Spectral Properties and Geometric Interpretation of R-Filters[J]. Applied Mathematics and Mechanics, 2009, 30(1): 109-119.

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Spectral Properties and Geometric Interpretation of R-Filters

LENG Tuo

Laboratory for Automated Reasoning and Programming, Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, P. R. China

Received Date: 2008-05-03
Rev Recd Date: 2008-12-01
Publish Date: 2009-01-15

Abstract

Abstract

Applying the Fourier analysis, the spectral properties of the R-filters are studied. Further, it was proved that R-filters is a generalization of least squares polynomial adjustment. And the geometric interpretation of R-filters was given.
- R-filter,
- HP-filter,
- spectral property,
- Fourier analysis,
- Hess-matrix,
- operator theory

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References(10)

References

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